The mass of a single chocolate chip used to make chocolate chip cookies is 0.324

Question

The mass of a single chocolate chip used to make chocolate chip cookies is 0.324 grams. How many chocolate chips are there in 1.000 moles of chocolate chips? How much would the chips weigh? (answer using scientific notation and proper significant figures) If 15 chocolate chips are required to make a cookie. How many cookies can you make if you had 1 nanomole (mu mole) of chocolate chips? How many moles of cookies would this yield? Calculate the molar masses of the following: sugar cane. C_12 H_22 O_11

Explanation / Answer

Mass of single choclate chip = 0.324 g/chip

A.) Number of chocolate chips are there in 1 mol chocolate chips = 1 mole * Avagadro's Number

= 1 mole * 6.022 x 10^23 mol ^ -1

= 6.022 x 10^ 23

B.) Weight of total chocolate chips is calculated as follows,

Weight of 1 chocolate chip is 0.324 g/chip.

Weight of 6.022 x 10^ 23 chocolate chips = (6.022 x 10^23 / 1) * 0.324 g/chip = 1.95 x 10^23 g

6.022 x 10^23 chocolate chips are 1.95 x10^23 grams.

Part 2:

15 Chocolate chips are required to make 1 coockie.

A.) 1 nanomole = 10 ^ -9 moles.

Number of chocolate chips in 10^-9 moles = 10^-9 * Avagadro's number

= 10^-9 mol * 6.022 x 10^23 chips/ 1 mol

= 6.022 x 10^ 14 chips

Number of cookies =  6.022 x 10^ 14 chips * 1 cookie/15 chips =4.01 *10^13 cookies

In 1 nanomoles or 10^-9 moles of chocolate chips, there are 4.01 x 10^ 13 cookies.

B.) Number of moles of cookies = Number of cookie/ Avagadno's number

   = 4.01x 10^ 13 cookies * 1 mol/ 6.022 x 10^23 cookies

= 6.65 x 10^-11 mol

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